2111101112251 has 2 divisors, whose sum is σ = 2111101112252. Its totient is φ = 2111101112250.

The previous prime is 2111101112191. The next prime is 2111101112257. The reversal of 2111101112251 is 1522111011112.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2111101112251 is a prime.

It is a super-3 number, since 3×2111101112251³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (2111101112257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055550556125 + 1055550556126.

It is an arithmetic number, because the mean of its divisors is an integer number (1055550556126).

Almost surely, 2^{2111101112251} is an apocalyptic number.

2111101112251 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111101112251 is an equidigital number, since it uses as much as digits as its factorization.

2111101112251 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40, while the sum is 19.

Adding to 2111101112251 its reverse (1522111011112), we get a palindrome (3633212123363).

The spelling of 2111101112251 in words is "two trillion, one hundred eleven billion, one hundred one million, one hundred twelve thousand, two hundred fifty-one".